Version 0.1. General Certificate of Secondary Education June Unit 1: Statistics Written Paper (Foundation) Final.

Transcription

1 Version 0.1 General Certificate of Secondary Education June 2012 Statistics 43101F Unit 1: Statistics Written Paper (Foundation) Final Mark Scheme

2 Mark schemes are prepared by the Principal Examiner and considered, together with the relevant questions, by a panel of subject teachers. This mark scheme includes any amendments made at the standardisation events which all examiners participate in and is the scheme which was used by them in this examination. The standardisation process ensures that the mark scheme covers the candidates responses to questions and that every examiner understands and applies it in the same correct way. As preparation for standardisation each examiner analyses a number of candidates scripts: alternative answers not already covered by the mark scheme are discussed and legislated for. If, after the standardisation process, examiners encounter unusual answers which have not been raised they are required to refer these to the Principal Examiner. It must be stressed that a mark scheme is a working document, in many cases further developed and expanded on the basis of candidates reactions to a particular paper. Assumptions about future mark schemes on the basis of one year s document should be avoided; whilst the guiding principles of assessment remain constant, details will change, depending on the content of a particular examination paper. Further copies of this Mark Scheme are available from: aqa.org.uk Copyright 2011 AQA and its licensors. All rights reserved. Copyright AQA retains the copyright on all its publications. However, registered centres for AQA are permitted to copy material from this booklet for their own internal use, with the following important exception: AQA cannot give permission to centres to photocopy any material that is acknowledged to a third party even for internal use within the centre. Set and published by the Assessment and Qualifications Alliance. The Assessment and Qualifications Alliance (AQA) is a company limited by guarantee registered in England and Wales (company number ) and a registered charity (registered charity number ). Registered address: AQA, Devas Street, Manchester M15 6EX.

3 Mark Scheme General Certificate of Secondary Education Unit 1:Statistics Written Paper (Foundation) June 2012 Glossary for Mark Schemes GCSE examinations are marked in such a way as to award positive achievement wherever possible. Thus, for GCSE Mathematics papers, marks are awarded under various categories. M A B E M Dep B Dep ft SC Method marks are awarded for a correct method which could lead to a correct answer. Accuracy marks are awarded when following on from a correct method. It is not necessary to always see the method. This can be implied. Marks awarded independent of method. Explain marks are awarded for a full and detailed explanation. A method mark dependent on a previous method mark being awarded. A mark that can only be awarded if a previous independent mark has been awarded. Follow through marks. Marks awarded following a mistake in an earlier step. Special case. Marks awarded within the scheme for a common misinterpretation which has some mathematical worth. Or equivalent. Accept answers that are equivalent. eg, accept 0.5 as well as 2 1 3

4 Mark Scheme General Certificate of Secondary Education - Unit 1:Statistics Written Paper (Foundation) June 2012 Unit 1 Foundation Tier 1(a)(i) (Unlikely) B3 B2 Two or three correct Evens One correct Impossible Likely Certain 1(a)(ii) 6 B2 fraction (condone decimals or 20 percentages) n 6 n > 6 or 20 m m >0 m 6 m< 20 SC (correct answer not seen) 1(b) 40 5 M1 8 A1 2(a) 50 2(b) 16 B2ft sight of 16 or their 50 Their 50 must be > 16 2(c) 2 2(d) Key stated correctly ft ft their numerical c or correct All symbols correct B2 ft ft At least one of the rows with half symbols correct 2(e)(i) Any correct difference eg, males favourite is theme park 2(e)(ii) Any correct similarity eg, coach trip least popular for both 4

5 Mark Scheme General Certificate of Secondary Education Unit 1:Statistics Written Paper (Foundation) June (a)(i) 30 3(a)(ii) 25 B2 + / 1 Sight of 55 (+ / 1) 3(b) Carrots from 0% to 50% + / ½ small square Peas from their 50% to their (50+25)% + / ½ small square If shaded (or labelled) must be done correctly but for first B2 can be blank Shades 3 sections with the 3 types of shading 4(a) Read from 60 on cf M1 [ ] A1 4(b) 96 4(c) their96 ft ft their 96 or correct 120 e.g. 0.8 or 80% 5(a) Lower fares means more customers 5(b) Only one driver s passengers asked eg, only one week s data only asking current customers 5(c) M1 214 A1 5(d) M1 adding 2880 or 240 A1 Totalling or mean correct (On average) more journeys after fares lowered ft 5(e) Ticks cannot tell Any indication Only have information about number of journeys not fares dep eg, do not know the size of the reductions 5

6 Mark Scheme General Certificate of Secondary Education - Unit 1:Statistics Written Paper (Foundation) June (a) Ticks or implies Yes and explains there are more 2200s than any other value 6(b) Ticks No and explains it is the lowest value Ticks Yes and discusses that this is the largest measure of agreement 6(c) Mean and Range B2 and no others Correct two and one incorrect One correct and not more than one incorrect 7a)(i) Luxembourg 7(a)(ii) Netherlands 7(b) (.0) M1 Condone (.0) 74.7 A1 Accept 0.747(p) SC1 digits 747 7(c) There was a general fall 8(a) Number the ducks Use random numbers (to obtain 3 values in range) Oe put numbers in a hat and pick 3 out 8(b)(i) Ticks Muscovy duck Other ducks are lighter than that dep 8(b)(ii) sight of 25%, 4 1 or 0.25 M1 e.g halving twice or dividing by 4 15 A1 SC1 45 6

7 Mark Scheme General Certificate of Secondary Education Unit 1:Statistics Written Paper (Foundation) June (a) Rows or columns for ending A or ending B Rows or columns for male and female 9(b)(i) People happier to write responses 9(b)(ii) Definitely get responses / get immediate responses 10(a) range includes 50 numbers 40 / (= 50) SC1 for 50 or 50% or ½ seen 10(b)(i) ( S C S S C ) M S S S M B2 for correct S M C C S C S S S S 10(b)(ii) Use of 5 bar gates Tallies all correct ft ft their table Frequencies correct ft 5, 12, 3 if correct but ft their tallies SC1 B0B0B0 but one correct use of a five bar gate 10(b)(iii) Greater than expected for Serious B2ft Any 2 for B2 Less for Critical now Any 1 for As expected for Minor 11(a) Fully correct B2 Up to 2 errors 11(b) M1 At least one correct 14.6 A1 11(c)

8 Mark Scheme General Certificate of Secondary Education - Unit 1:Statistics Written Paper (Foundation) June (a) Use of the toothpaste Wondershine (E) 12(b) The number of fillings the child needs during the experiment (B) 12(c) How many sweets the child eats (C) or How often the child cleans his/her teeth (A) 13(a) The values are (b) No change (c) Clothing 14(a)(i) positive agreement Students doing well in one oral test likely to do well in the other oral test 14(a)(ii) No agreement between the two tests 14(b)(i) 18 14(b)(ii) 2 14(b)(iii) 80 and 11 lessons missed SC1 for 11 and 80 or 80 and 11 in second box only 8